Finding the Third Proportional to 313,832 and 685,978

Step by Step Solution

1. Step 1: Write the proportion equation
   313,832 : 685,978 = 685,978 : x
2. Step 2: Convert to fraction form
   313,832/685,978 = 685,978/x
3. Step 3: Cross multiply
   313,832x = 685,978 × 685,978
4. Step 4: Simplify right side
   313,832x = 470,565,816,484
5. Step 5: Solve for x
   x = 470,565,816,484/313,832
6. Step 6: Final answer
   x = 1,499,419.49